return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for Na2S (Sodium sulfide)

using model chemistry: HSEh1PBE/daug-cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no D*H 1ΣG
1 2 yes C2V 1A1

Conformer 1 (D*H)

Jump to S1C2
Energy calculated at HSEh1PBE/daug-cc-pVDZ
 hartrees
Energy at 0K-722.532880
Energy at 298.15K 
HF Energy-722.532880
Nuclear repulsion energy90.428095
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at HSEh1PBE/daug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Σg 278 278 0.00 230.27 0.08 0.14
2 Σu 423 423 108.87 0.00 0.00 0.00
3 Πu 67i 67i 66.99 0.00 0.00 0.00
3 Πu 67i 67i 66.99 0.00 0.00 0.00

Unscaled Zero Point Vibrational Energy (zpe) 283.5 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 283.5 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at HSEh1PBE/daug-cc-pVDZ
B
0.06292

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/daug-cc-pVDZ

Point Group is D∞h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.000
Na2 0.000 0.000 2.414
Na3 0.000 0.000 -2.414

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.41392.4139
Na22.41394.8278
Na32.41394.8278

picture of Sodium sulfide state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Na2 S1 Na3 180.000
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -1.718      
2 Na 0.859      
3 Na 0.859      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.062 0.000 0.000
y 0.000 -31.062 0.000
z 0.000 0.000 18.694
Traceless
 xyz
x -24.878 0.000 0.000
y 0.000 -24.878 0.000
z 0.000 0.000 49.756
Polar
3z2-r299.512
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.590 0.000 0.000
y 0.000 13.590 0.000
z 0.000 0.000 22.180


<r2> (average value of r2) Å2
<r2> 137.236
(<r2>)1/2 11.715

Conformer 2 (C2V)

Jump to S1C1
Energy calculated at HSEh1PBE/daug-cc-pVDZ
 hartrees
Energy at 0K-722.535718
Energy at 298.15K 
HF Energy-722.535718
Nuclear repulsion energy91.613034
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at HSEh1PBE/daug-cc-pVDZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 309 309 18.29 310.92 0.07 0.13
2 A1 54 54 34.26 7.67 0.75 0.86
3 B2 389 389 78.21 20.82 0.75 0.86
4 B2 389 389 78.21      

Unscaled Zero Point Vibrational Energy (zpe) 570.9 cm-1
Scaled (by 1) Zero Point Vibrational Energy (zpe) 570.9 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at HSEh1PBE/daug-cc-pVDZ
ABC
0.60971 0.08206 0.07233

See section I.F.4 to change rotational constant units
Geometric Data calculated at HSEh1PBE/daug-cc-pVDZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
S1 0.000 0.000 0.701
Na2 0.000 2.114 -0.510
Na3 0.000 -2.114 -0.510

Atom - Atom Distances (Å)
  S1 Na2 Na3
S12.43602.4360
Na22.43604.2275
Na32.43604.2275

picture of Sodium sulfide state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
Na2 S1 Na3 120.389
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HSEh1PBE/daug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 S -1.351      
2 Na 0.676      
3 Na 0.676      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 -6.554 6.554
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -31.117 0.000 0.000
y 0.000 6.284 0.000
z 0.000 0.000 -29.695
Traceless
 xyz
x -19.411 0.000 0.000
y 0.000 36.690 0.000
z 0.000 0.000 -17.278
Polar
3z2-r2-34.556
x2-y2-37.401
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.502 0.000 0.000
y 0.000 22.020 0.000
z 0.000 0.000 15.730


<r2> (average value of r2) Å2
<r2> 123.226
(<r2>)1/2 11.101